Atkin-Lehner |
2+ 3- 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bg |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
252000 |
Modular degree for the optimal curve |
Δ |
2135362500000 = 25 · 35 · 58 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6326,-180952] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:136:1] |
Generators of the group modulo torsion |
j |
71655997945/5466528 |
j-invariant |
L |
3.9692979615039 |
L(r)(E,1)/r! |
Ω |
0.53791915681297 |
Real period |
R |
0.49193240507019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450bq1 |
Quadratic twists by: 5 |